Necessary conditions for optimal control problems involving nonlinear differential algebraic equations

• Type: Article in International Scientific Journal
• Date: 1997

Authors

M. do R. de Pinho (Author) FEUP; R. B. Vinter (Author) Other

Journal

Title: Journal of Mathematical Analysis and Applications

Vol. 212 No. 2

Pages: 493-516

ISSN: 0022-247X

Publisher: Elsevier

Indexing

ISI Web of Knowledge

ISI Web of Science

Scopus - 47 Citations

INSPEC

Scientific classification

CORDIS: Physical sciences > Mathematics > Mathematical analysis

Other information

Authenticus ID: P-007-7JX

DOI: 10.1006/jmaa.1997.5523

Abstract (EN): Dynamic models which take the form of a coupled set of differential and algebraic equations (DAEs) are widely used in process systems engineering. Necessary conditions of optimality for optimal control problems involving such models are derived. A strong Maximum Principle is obtained under a convexity hypothesis on the velocity set. An example illustrates that the strong Maximal Principle may be violated when this hypothesis is dropped. For problems involving nonconvex velocity sets, however, a weak Maximum Principle is valid. © 1997 Academic Press.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 24